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This is a short book of three chapters: Chapter 1. Van der Waerden's theorem on arithmetic progressions. Chapter 2. The Landau-Shnirelmann hypothesis and Mann's theorem. Chapter 3. An elementary solution of Waring's problem.
These are all difficult problems from the theory of numbers and I think that the elementary proofs that Khinchin describes here are original. This book is a challenging but enjoyable read.
I also recommend his other book on number theory: "Continued Fractions".
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It provides clear and concise diagrams on what area of the brain does what.
It has been a world of help to me!
Thank you,
Dale Dejnowski
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I read this book in high school, lured in by Kuprin's other famous stories, such as "The Duel" (his first success, just as impressive as the later ones), "Gambrinus" or "The Bracelet of Garnets." Back then the emotional punch of "The Pit" pushed me to become a strong believer in women's rights, and helped me to form a solid idea of what a true man is as opposed to the dispeakable "men" portrayed by Kuprin's stinging prose.
Now, as an adult, I firmly believe that this book is a must read for any growing man, so that he learns how to be human in the highest sense of the word, as opposed to "respectable" and heartless "consumers" like so many showcased in this story.
NB: why do the words "a novel of prostitution" appear in the title? It's not in the original and absolutely unnecessary. What should appear instead is "a novel of real life".
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His poem, "Babii Yar," about the slaughter of Jews at that fateful place during World War II, was used as the centerpiece for Shostakovich's Thirteenth Symphony. Written in 1962 to combat anti-Semitism, it is just as powerful and meaningful today as when it was first read.
"Nothing in me shall ever forget!" (from "Babii Yar")
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Art as the cognition of life (Mehring Books £19.99) is a large selection of critical writings by A.K. Voronsky. It is impeccably translated and superbly presented. Voronsky was a Bolshevik critic and editor whose life and work was expunged by the Stalinist regime. Predictably, then, he is in the Engels camp of Marxist criticism ("The more the opinions of the author remain hidden, the better for the work of art") and not the Leninist camp ("Literature must become Party literature!").
Voronsky is not a radical critic, but openly develops his key notions from the work of the 19th century writer V.G. Belinsky, and the title-piece of this book is in some ways the least relevant of the collected essays. More intriguing are those which dwell on the circumstances and the figures of the time; some well known to the West (Maxim Gorky or H.G. Wells), other much less so (the poet Sergei Esenin or Voronsky's friend Mikhail Frunze).
This is a significant historical document, a window onto a smudged world and into a giddy time that wants for levelheaded commentary. Voronsky is an authoritative voice rather than a great critic; but you have to remind yourself of the constant barrage or personal attack he was under and marvel at the near complete absence of self-justification and cheap vitriol in his writings. Reviewing the "disgraced" political activist and thinker G.V. Plekanov he bemoans: "The revolution is ruthless. Like Saturn it devours its children, without slowing its furious pace for even a second". 17 years later this "furious pace" saw Voronsky shot and buried in an unmarked grave near Moscow.
Sheffield's Mehring Books deserve huge credit for publishing Art as the Cognition of Life, but who can pretend there is a ready market for it? There are many kinds of censorship but the "free economy" is, in telling ways, the most efficient of them.